Abstract

Barchans are crescent-shaped sand dunes forming in arid regions with unidirectional windand limited sand supply. We report analytical and numerical results for duneshapes under different environmental conditions as obtained from the so-called‘minimal model’ of aeolian sand dunes. The profiles of longitudinal vertical slices(i.e. along the wind direction) are analysed as a function of wind speed and sandsupply. Shape transitions can be induced by changes of mass, wind speed andsand supply. Within a minimal extension of the model to the transverse directionthe scale-invariant profile of transverse vertical cuts can be derived analytically.

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